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- W2066753868 abstract "We calculate the electrophoretic mobility M e of a spherical colloidal particle, using modified Poisson–Nernst–Planck (PNP) equations that account for steric repulsion between finite sized ions, through Bikerman's mean-field model (Bikerman, Phil. Mag ., vol. 33, 1942, p. 384). Ion steric effects are controlled by the bulk volume fraction of ions ν, and for ν = 0 the standard PNP equations are recovered. An asymptotic analysis in the thin-double-layer limit reveals at small zeta potentials (ζ < k B T / e ≈ 25 mV) M e to increase linearly with ζ for all ν, as expected from the Helmholtz–Smoluchowski (HS) formula. For larger ζ, however, it is well known that surface conduction of ions within the double layer reduces M e below the HS result. Crucially, however, in the PNP equations surface conduction becomes significant precisely because of the aphysically large and unbounded counter-ion densities predicted at large ζ. In contrast, ion steric effects impose a limit on the counter-ion density, thereby mitigating surface conduction. Hence, M e does not fall as far below HS for finite sized ions (ν ≠ 0). Indeed, at sufficiently large ν, ion steric effects are so dramatic that a maximum in M e is not observed for physically reasonable values of ζ(≤ 10 k B T / e ), in stark contrast to the PNP-based calculations of O'Brien & White ( J. Chem. Soc. Faraday Trans . II, vol. 74, 1978, p. 1607) and O'Brien ( J. Colloid Interface Sci ., vol. 92, 1983, p. 204). Finally, by calculating a Dukhin–Bikerman number characterizing the relative importance of surface conduction, we collapse M e versus ζ data for different ν onto a single master curve." @default.
- W2066753868 created "2016-06-24" @default.
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- W2066753868 date "2009-11-13" @default.
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- W2066753868 title "Ion steric effects on electrophoresis of a colloidal particle" @default.
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- W2066753868 doi "https://doi.org/10.1017/s0022112009991728" @default.
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